# 2038

## 2,038 is an even composite number composed of two prime numbers multiplied together.

What does the number 2038 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

2038 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 2038:

### 2 × 1019

See below for interesting mathematical facts about the number 2038 from the Numbermatics database.

### Names of 2038

• Cardinal: 2038 can be written as Two thousand and thirty-eight.

### Scientific notation

• Scientific notation: 2.038 × 103

### Factors of 2038

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 1021

### Divisors of 2038

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 3060
• Sum of proper divisors (its aliquot sum) s(n): 1022
• 2038 is a deficient number, because the sum of its proper divisors (1022) is less than itself. Its deficiency is 1016

### Bases of 2038

• Binary: 111111101102
• Base-36: 1KM

### Squares and roots of 2038

• 2038 squared (20382) is 4153444
• 2038 cubed (20383) is 8464718872
• The square root of 2038 is 45.1442133611
• The cube root of 2038 is 12.6785053983

### Scales and comparisons

How big is 2038?
• 2,038 seconds is equal to 33 minutes, 58 seconds.
• To count from 1 to 2,038 would take you about thirty-three minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 2038 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2038

• 2038 backwards is 8302
• The number of decimal digits it has is: 4
• The sum of 2038's digits is 13
• More coming soon!